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Finding the Fourth Proportional to 458.60, 633.05 and 292.95

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Solution

The fourth proportional to 458.60, 633.05 and 292.95 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 633.05 = 292.95 : x
  2. Step 2: Convert to fraction form
    458.60/633.05 = 292.95/x
  3. Step 3: Cross multiply
    458.60x = 633.05 × 292.95
  4. Step 4: Simplify right side
    458.60x = 185,450.53
  5. Step 5: Solve for x
    x = 185,450.53/458.60
  6. Step 6: Final answer
    x = 404.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.